Home / 1,316.14-1,974.21-450.46

Finding the Fourth Proportional to 1,316.14, 1,974.21 and 450.46

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Solution

The fourth proportional to 1,316.14, 1,974.21 and 450.46 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.14 : 1,974.21 = 450.46 : x
  2. Step 2: Convert to fraction form
    1,316.14/1,974.21 = 450.46/x
  3. Step 3: Cross multiply
    1,316.14x = 1,974.21 × 450.46
  4. Step 4: Simplify right side
    1,316.14x = 889,302.64
  5. Step 5: Solve for x
    x = 889,302.64/1,316.14
  6. Step 6: Final answer
    x = 675.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.